4 citations · 6 across the 9 of their papers we have counts for
10 papers
Monoid Embeddings of Symmetric Varieties
Mahir Bilen Can, Roger Howe, Lex Renner
We determine when an antiinvolution on an adjoint semisimple linear algebraic group extends to an antiinvolution on a -irreducible monoid. Using this information, we study a spe…
Algebraic Semigroups are Strongly π-regular
Michel Brion, Lex E. Renner
Let be an algebraic semigroup (not necessarily linear) defined over a field . We show that there exists a positive integer such that belongs to a subgroup of $S(F)…
The H-polynomial of a Group Embedding
Lex E. Renner
The Poincaré polynomial of a Weyl group calculates the Betti numbers of the projective homogeneous space , while the -vector of a simple polytope calculates the Betti numbe…
The ring of regular functions of an algebraic monoid
Lex E. Renner, Alvaro Rittatore
Let M be an irreducible normal algebraic monoid with unit group G. It is known that G admits a Rosenlicht decomposition, G=G_antG_aff, where G_ant is the maximal anti-affine subgro…
Observable subgroups of algebraic monoids
Lex Renner, Alvaro Rittatore
A closed subgroup H of the affine, algebraic group G is called observable if G/H is a quasi-affine algebraic variety. In this paper we define the notion of an observable subgroup o…
Observable actions of algebraic groups
Lex Renner, Alvaro Rittatore
Let G be an affine algebraic group and let X be an affine algebraic variety. An action is called observable if for any G-invariant, proper, closed subset Y of X t…